The partial pressure of `CH_(3)OH_((g))`, `CO_((g))` and `H_(2(g))` in equilibrium mixture for the reaction, `CO_((g))+2H_(2(g))hArrCH_(3)OH_((g))` are `2.0`, `1.0` and `0.1` atm respectively at `427^(@)C`. The value of `K_(P)` for deomposition of `CH_(3)OH` to `CO` and `H_(2)` is:

Explanation

`K_(P) = P_(CH_(3)OH)/(P_(CO) xx P_(H_(2))^(2)) = 2/(1 xx (0.1)^(2)) = 200 atm^(-2)`